0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_ext
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n088.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 16:54:09 CST 2018
0.00/0.44	% done 492 iterations in 0.228s
0.00/0.44	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.44	% SZS output start Refutation
0.00/0.44	tff(cSILLYWFF2, conjecture,
0.00/0.44	  ((?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.44	      ((~Xq(z)) & Xq(Xy) & (~Xp(Xy)) & Xp(Xx))) <=>
0.00/0.44	   (?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.44	      ((~Xp(Xy)) & Xp(Xx) & Xq(Xy) & (~Xq(z)))))).
0.00/0.44	tff(zf_stmt_0, negated_conjecture,
0.00/0.44	  (~
0.00/0.44	    ((?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.44	        ((~Xq(z)) & Xq(Xy) & (~Xp(Xy)) & Xp(Xx))) <=>
0.00/0.44	     (?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.44	        ((~Xp(Xy)) & Xp(Xx) & Xq(Xy) & (~Xq(z))))))).
0.00/0.44	tff('0', plain, (sk_Xp(sk_Xx) | sk_Xp1(sk_Xx1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('1', plain, (sk_Xq(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('2', plain, (sk_Xq(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('3', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3, X4 : $i > $o, X5, X6 : $i > $o, X7]:
0.00/0.44	      (X0(X1)
0.00/0.44	       | ~ X2(X1)
0.00/0.44	       | X2(z)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | X6(X5)
0.00/0.44	       | ~ X6(X7)
0.00/0.44	       | X4(z)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('4', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xq(sk_Xy)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | X4(sk_Xy1)),
0.00/0.44	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.44	tff('5', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X4(sk_Xy1)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X0(z)
0.00/0.44	       | sk_Xq(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['4'])).
0.00/0.44	tff('6', plain, (sk_Xp(sk_Xx) | ~ sk_Xq1(z)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('7', plain, (sk_Xq(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('8', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq1(z)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | sk_Xq(z)
0.00/0.44	       | X4(sk_Xy)),
0.00/0.44	    inference('sup-', [status(thm)], ['7', '3'])).
0.00/0.44	tff('9', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X4(sk_Xy)
0.00/0.44	       | sk_Xq(z)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ sk_Xq1(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['8'])).
0.00/0.44	tff('10', plain, (~ sk_Xq(z) | ~ sk_Xq1(z)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('11', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ sk_Xq1(z)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | X4(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['9', '10'])).
0.00/0.44	tff('12', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq1(z)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | ~ X2(X3)
0.00/0.44	       | sk_Xp(X3)
0.00/0.44	       | X2(z)
0.00/0.44	       | ~ sk_Xq1(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['6', '11'])).
0.00/0.44	tff('13', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (X2(z) | sk_Xp(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['12'])).
0.00/0.44	tff('14', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq1(z)
0.00/0.44	       | ~ sk_Xq1(z)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | sk_Xp(sk_Xy)
0.00/0.44	       | sk_Xq(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['7', '13'])).
0.00/0.44	tff('15', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq(z) | sk_Xp(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['14'])).
0.00/0.44	tff('16', plain,
0.00/0.44	    ![X0 : $i > $o, X1]: (~ sk_Xq1(z) | X0(sk_Xy) | ~ X0(X1) | sk_Xp(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['15', '10'])).
0.00/0.44	tff('17', plain, (~ sk_Xp(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('18', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('clc', [status(thm)], ['16', '17'])).
0.00/0.44	tff('19', plain, (~ $true | ~ sk_Xq1(z) | ~ sk_Xq1(z) | sk_Xp(sk_Xy)),
0.00/0.44	    inference('sup-', [status(thm)], ['6', '18'])).
0.00/0.44	tff('20', plain, (sk_Xp(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['19'])).
0.00/0.44	tff('21', plain, ~ sk_Xq1(z), inference('clc', [status(thm)], ['20', '17'])).
0.00/0.44	tff('22', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (sk_Xq(sk_Xy)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | X4(sk_Xy1)),
0.00/0.44	    inference('clc', [status(thm)], ['5', '21'])).
0.00/0.44	tff('23', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xq(sk_Xy)
0.00/0.44	       | X0(sk_Xy1)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | ~ X2(X3)
0.00/0.44	       | sk_Xp1(X3)
0.00/0.44	       | X2(z)
0.00/0.44	       | sk_Xq(sk_Xy)),
0.00/0.44	    inference('sup-', [status(thm)], ['1', '22'])).
0.00/0.44	tff('24', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['23'])).
0.00/0.44	tff('25', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xq(sk_Xy)
0.00/0.44	       | sk_Xq(sk_Xy)
0.00/0.44	       | X0(sk_Xy1)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | sk_Xp1(sk_Xy1)
0.00/0.44	       | sk_Xq1(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['2', '24'])).
0.00/0.44	tff('26', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['25'])).
0.00/0.44	tff('27', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq(sk_Xy) | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('clc', [status(thm)], ['26', '21'])).
0.00/0.44	tff('28', plain, (sk_Xq(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('29', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['27', '28'])).
0.00/0.44	tff('30', plain, (~ $true | sk_Xq(sk_Xy) | sk_Xq(sk_Xy) | sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('sup-', [status(thm)], ['1', '29'])).
0.00/0.44	tff('31', plain, (sk_Xp1(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['30'])).
0.00/0.44	tff('32', plain, sk_Xq(sk_Xy), inference('clc', [status(thm)], ['31', '28'])).
0.00/0.44	tff('33', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ $true
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | sk_Xq(z)
0.00/0.44	       | X4(sk_Xy)),
0.00/0.44	    inference('sup-', [status(thm)], ['32', '3'])).
0.00/0.44	tff('34', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X4(sk_Xy) | sk_Xq(z) | ~ X4(X5) | ~ X0(X3) | X1(X3) | ~ X1(X2) | X0(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['33'])).
0.00/0.44	tff('35', plain, (~ sk_Xq(z) | sk_Xp1(sk_Xx1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('36', plain, (~ sk_Xq(z) | sk_Xq1(sk_Xy1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('37', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq(z)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | X4(sk_Xy1)),
0.00/0.44	    inference('sup-', [status(thm)], ['36', '3'])).
0.00/0.44	tff('38', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X4(sk_Xy1)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ sk_Xq(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['37'])).
0.00/0.44	tff('39', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ sk_Xq(z)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | X4(sk_Xy1)),
0.00/0.44	    inference('clc', [status(thm)], ['38', '21'])).
0.00/0.44	tff('40', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq(z)
0.00/0.44	       | X0(sk_Xy1)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | ~ X2(X3)
0.00/0.44	       | sk_Xp1(X3)
0.00/0.44	       | X2(z)
0.00/0.44	       | ~ sk_Xq(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['35', '39'])).
0.00/0.44	tff('41', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['40'])).
0.00/0.44	tff('42', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xq(z)
0.00/0.44	       | ~ sk_Xq(z)
0.00/0.44	       | X0(sk_Xy1)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | sk_Xp1(sk_Xy1)
0.00/0.44	       | sk_Xq1(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['36', '41'])).
0.00/0.44	tff('43', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['42'])).
0.00/0.44	tff('44', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ sk_Xq(z) | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('clc', [status(thm)], ['43', '21'])).
0.00/0.44	tff('45', plain, (~ sk_Xq(z) | ~ sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('46', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.44	    inference('clc', [status(thm)], ['44', '45'])).
0.00/0.44	tff('47', plain, (~ $true | ~ sk_Xq(z) | ~ sk_Xq(z) | sk_Xp1(sk_Xy1)),
0.00/0.44	    inference('sup-', [status(thm)], ['35', '46'])).
0.00/0.44	tff('48', plain, (sk_Xp1(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.44	    inference('simplify', [status(thm)], ['47'])).
0.00/0.44	tff('49', plain, ~ sk_Xq(z), inference('clc', [status(thm)], ['48', '45'])).
0.00/0.44	tff('50', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X0(z) | ~ X1(X2) | X1(X3) | ~ X0(X3) | ~ X4(X5) | X4(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['34', '49'])).
0.00/0.44	tff('51', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xp(sk_Xx)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | ~ X2(X3)
0.00/0.44	       | sk_Xp1(X3)
0.00/0.44	       | X2(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['0', '50'])).
0.00/0.44	tff('52', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy) | sk_Xp(sk_Xx)),
0.00/0.44	    inference('simplify', [status(thm)], ['51'])).
0.00/0.44	tff('53', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xp(sk_Xx)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | sk_Xp1(sk_Xy)
0.00/0.44	       | sk_Xq(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['32', '52'])).
0.00/0.44	tff('54', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq(z) | sk_Xp1(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | sk_Xp(sk_Xx)),
0.00/0.44	    inference('simplify', [status(thm)], ['53'])).
0.00/0.44	tff('55', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xp(sk_Xx) | X0(sk_Xy) | ~ X0(X1) | sk_Xp1(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['54', '49'])).
0.00/0.44	tff('56', plain,
0.00/0.44	    (~ $true | sk_Xp(sk_Xx) | sk_Xp1(sk_Xy) | sk_Xp1(sk_Xy) | sk_Xp(sk_Xx)),
0.00/0.44	    inference('sup-', [status(thm)], ['0', '55'])).
0.00/0.44	tff('57', plain, (sk_Xp1(sk_Xy) | sk_Xp(sk_Xx)),
0.00/0.44	    inference('simplify', [status(thm)], ['56'])).
0.00/0.44	tff('58', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xp1(sk_Xy)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | ~ X2(X3)
0.00/0.44	       | sk_Xp(X3)
0.00/0.44	       | X2(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['57', '50'])).
0.00/0.44	tff('59', plain,
0.00/0.44	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.44	      (X2(z) | sk_Xp(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy) | sk_Xp1(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['58'])).
0.00/0.44	tff('60', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (~ $true
0.00/0.44	       | sk_Xp1(sk_Xy)
0.00/0.44	       | X0(sk_Xy)
0.00/0.44	       | ~ X0(X1)
0.00/0.44	       | sk_Xp(sk_Xy)
0.00/0.44	       | sk_Xq(z)),
0.00/0.44	    inference('sup-', [status(thm)], ['32', '59'])).
0.00/0.44	tff('61', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xq(z) | sk_Xp(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | sk_Xp1(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['60'])).
0.00/0.44	tff('62', plain,
0.00/0.44	    ![X0 : $i > $o, X1]:
0.00/0.44	      (sk_Xp1(sk_Xy) | X0(sk_Xy) | ~ X0(X1) | sk_Xp(sk_Xy)),
0.00/0.44	    inference('clc', [status(thm)], ['61', '49'])).
0.00/0.44	tff('63', plain, (~ sk_Xp(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('64', plain, (~ sk_Xp(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.44	tff('65', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ $true
0.00/0.44	       | ~ sk_Xp(sk_Xy)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | X4(sk_Xy1)),
0.00/0.44	    inference('sup-', [status(thm)], ['64', '3'])).
0.00/0.44	tff('66', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (X4(sk_Xy1)
0.00/0.44	       | sk_Xq1(z)
0.00/0.44	       | ~ X4(X5)
0.00/0.44	       | ~ X0(X3)
0.00/0.44	       | X1(X3)
0.00/0.44	       | ~ X1(X2)
0.00/0.44	       | X0(z)
0.00/0.44	       | ~ sk_Xp(sk_Xy)),
0.00/0.44	    inference('simplify', [status(thm)], ['65'])).
0.00/0.44	tff('67', plain,
0.00/0.44	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.44	      (~ sk_Xp(sk_Xy)
0.00/0.44	       | X0(z)
0.00/0.45	       | ~ X1(X2)
0.00/0.45	       | X1(X3)
0.00/0.45	       | ~ X0(X3)
0.00/0.45	       | ~ X4(X5)
0.00/0.45	       | X4(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['66', '21'])).
0.00/0.45	tff('68', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_Xp(sk_Xy)
0.00/0.45	       | X0(sk_Xy1)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | ~ X2(X3)
0.00/0.45	       | sk_Xp1(X3)
0.00/0.45	       | X2(z)
0.00/0.45	       | ~ sk_Xp(sk_Xy)),
0.00/0.45	    inference('sup-', [status(thm)], ['63', '67'])).
0.00/0.45	tff('69', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.45	    inference('simplify', [status(thm)], ['68'])).
0.00/0.45	tff('70', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_Xp(sk_Xy)
0.00/0.45	       | ~ sk_Xp(sk_Xy)
0.00/0.45	       | X0(sk_Xy1)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | sk_Xp1(sk_Xy1)
0.00/0.45	       | sk_Xq1(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['64', '69'])).
0.00/0.45	tff('71', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.45	    inference('simplify', [status(thm)], ['70'])).
0.00/0.45	tff('72', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ sk_Xp(sk_Xy) | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['71', '21'])).
0.00/0.45	tff('73', plain, (~ sk_Xp(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('74', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['72', '73'])).
0.00/0.45	tff('75', plain,
0.00/0.45	    (~ $true | ~ sk_Xp(sk_Xy) | ~ sk_Xp(sk_Xy) | sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('sup-', [status(thm)], ['63', '74'])).
0.00/0.45	tff('76', plain, (sk_Xp1(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.45	    inference('simplify', [status(thm)], ['75'])).
0.00/0.45	tff('77', plain, ~ sk_Xp(sk_Xy),
0.00/0.45	    inference('clc', [status(thm)], ['76', '73'])).
0.00/0.45	tff('78', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy) | sk_Xp1(sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['62', '77'])).
0.00/0.45	tff('79', plain, (~ $true | sk_Xp1(sk_Xy) | sk_Xp1(sk_Xy) | sk_Xp(sk_Xy)),
0.00/0.45	    inference('sup-', [status(thm)], ['57', '78'])).
0.00/0.45	tff('80', plain, (sk_Xp(sk_Xy) | sk_Xp1(sk_Xy)),
0.00/0.45	    inference('simplify', [status(thm)], ['79'])).
0.00/0.45	tff('81', plain, sk_Xp1(sk_Xy), inference('clc', [status(thm)], ['80', '77'])).
0.00/0.45	tff('82', plain, (sk_Xp(sk_Xx) | sk_Xq1(sk_Xy1)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('83', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (~ $true
0.00/0.45	       | sk_Xq1(sk_Xy1)
0.00/0.45	       | X0(sk_Xy)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | ~ X2(X3)
0.00/0.45	       | sk_Xp(X3)
0.00/0.45	       | X2(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['82', '50'])).
0.00/0.45	tff('84', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (X2(z) | sk_Xp(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['83'])).
0.00/0.45	tff('85', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ $true
0.00/0.45	       | sk_Xq1(sk_Xy1)
0.00/0.45	       | X0(sk_Xy)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | sk_Xp(sk_Xy)
0.00/0.45	       | sk_Xq(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '84'])).
0.00/0.45	tff('86', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (sk_Xq(z) | sk_Xp(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['85'])).
0.00/0.45	tff('87', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (sk_Xq1(sk_Xy1) | X0(sk_Xy) | ~ X0(X1) | sk_Xp(sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['86', '49'])).
0.00/0.45	tff('88', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['87', '77'])).
0.00/0.45	tff('89', plain, (~ $true | sk_Xq1(sk_Xy1) | sk_Xq1(sk_Xy1) | sk_Xp(sk_Xy)),
0.00/0.45	    inference('sup-', [status(thm)], ['82', '88'])).
0.00/0.45	tff('90', plain, (sk_Xp(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['89'])).
0.00/0.45	tff('91', plain, sk_Xq1(sk_Xy1),
0.00/0.45	    inference('clc', [status(thm)], ['90', '77'])).
0.00/0.45	tff('92', plain,
0.00/0.45	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.45	      (~ $true
0.00/0.45	       | X0(z)
0.00/0.45	       | ~ X1(X2)
0.00/0.45	       | X1(X3)
0.00/0.45	       | ~ X0(X3)
0.00/0.45	       | ~ X4(X5)
0.00/0.45	       | sk_Xq1(z)
0.00/0.45	       | X4(sk_Xy1)),
0.00/0.45	    inference('sup-', [status(thm)], ['91', '3'])).
0.00/0.45	tff('93', plain,
0.00/0.45	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.45	      (X4(sk_Xy1)
0.00/0.45	       | sk_Xq1(z)
0.00/0.45	       | ~ X4(X5)
0.00/0.45	       | ~ X0(X3)
0.00/0.45	       | X1(X3)
0.00/0.45	       | ~ X1(X2)
0.00/0.45	       | X0(z)),
0.00/0.45	    inference('simplify', [status(thm)], ['92'])).
0.00/0.45	tff('94', plain,
0.00/0.45	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.45	      (X0(z) | ~ X1(X2) | X1(X3) | ~ X0(X3) | ~ X4(X5) | X4(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['93', '21'])).
0.00/0.45	tff('95', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (~ $true | X0(sk_Xy1) | ~ X0(X1) | ~ X2(X3) | sk_Xq(X3) | X2(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '94'])).
0.00/0.45	tff('96', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (X2(z) | sk_Xq(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['95'])).
0.00/0.45	tff('97', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ $true | X0(sk_Xy1) | ~ X0(X1) | sk_Xq(sk_Xy1) | sk_Xq1(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['91', '96'])).
0.00/0.45	tff('98', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (sk_Xq1(z) | sk_Xq(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['97'])).
0.00/0.45	tff('99', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (X0(sk_Xy1) | ~ X0(X1) | sk_Xq(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['98', '21'])).
0.00/0.45	tff('100', plain, (~ $true | sk_Xq(sk_Xy1) | sk_Xq(sk_Xy1)),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '99'])).
0.00/0.45	tff('101', plain, sk_Xq(sk_Xy1),
0.00/0.45	    inference('simplify', [status(thm)], ['100'])).
0.00/0.45	tff('102', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (~ $true | X0(sk_Xy1) | ~ X0(X1) | ~ X2(X3) | sk_Xp1(X3) | X2(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['81', '94'])).
0.00/0.45	tff('103', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['102'])).
0.00/0.45	tff('104', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ $true | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1) | sk_Xq(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['101', '103'])).
0.00/0.45	tff('105', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (sk_Xq(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['104'])).
0.00/0.45	tff('106', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['105', '49'])).
0.00/0.45	tff('107', plain, (sk_Xp(sk_Xx) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('108', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_Xp1(sk_Xy1)
0.00/0.45	       | X0(sk_Xy)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | ~ X2(X3)
0.00/0.45	       | sk_Xp(X3)
0.00/0.45	       | X2(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['107', '50'])).
0.00/0.45	tff('109', plain,
0.00/0.45	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.45	      (X2(z) | sk_Xp(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['108'])).
0.00/0.45	tff('110', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_Xp1(sk_Xy1)
0.00/0.45	       | X0(sk_Xy)
0.00/0.45	       | ~ X0(X1)
0.00/0.45	       | sk_Xp(sk_Xy)
0.00/0.45	       | sk_Xq(z)),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '109'])).
0.00/0.45	tff('111', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (sk_Xq(z) | sk_Xp(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['110'])).
0.00/0.45	tff('112', plain,
0.00/0.45	    ![X0 : $i > $o, X1]:
0.00/0.45	      (~ sk_Xp1(sk_Xy1) | X0(sk_Xy) | ~ X0(X1) | sk_Xp(sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['111', '49'])).
0.00/0.45	tff('113', plain,
0.00/0.45	    ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['112', '77'])).
0.00/0.45	tff('114', plain,
0.00/0.45	    (~ $true | ~ sk_Xp1(sk_Xy1) | ~ sk_Xp1(sk_Xy1) | sk_Xp(sk_Xy)),
0.00/0.45	    inference('sup-', [status(thm)], ['107', '113'])).
0.00/0.45	tff('115', plain, (sk_Xp(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('simplify', [status(thm)], ['114'])).
0.00/0.45	tff('116', plain, ~ sk_Xp1(sk_Xy1),
0.00/0.45	    inference('clc', [status(thm)], ['115', '77'])).
0.00/0.45	tff('117', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1)),
0.00/0.45	    inference('clc', [status(thm)], ['106', '116'])).
0.00/0.45	tff('118', plain, (~ $true | sk_Xp1(sk_Xy1)),
0.00/0.45	    inference('sup-', [status(thm)], ['81', '117'])).
0.00/0.45	tff('119', plain, sk_Xp1(sk_Xy1),
0.00/0.45	    inference('simplify', [status(thm)], ['118'])).
0.00/0.45	tff('120', plain, ~ $true, inference('sup-', [status(thm)], ['119', '116'])).
0.00/0.45	tff('121', plain, $false, inference('simplify', [status(thm)], ['120'])).
0.00/0.45	
0.00/0.45	% SZS output end Refutation
0.00/0.45	EOF
